If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.

y - 2 = -1/1 (x - 4)

***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************

y - 2 = -1 (x - 4)

Now distribute -1 times x and -4.

y - 2 = -x + 4

Add 2 to both sides to get y by itself.

y = -x + 2

Your answer should be:

y = -x + 2

5 0

3 years ago

If Janet has 5 yards of fabric that is 2 1/4 feet wide, and she used 1/3 of it to make one kind of curtains, and the rest to mak

Marina CMI [18]

11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

3 0

3 years ago

The system of equations y=-3x+5 and y=3x-7 has

maksim [4K]

$\displaystyle \left \{ {{y=-3x+5} \atop {y=3x-7}} \right. \Rightarrow \left \{ {{y+3x=5} \atop {y-3x=-7}} \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~2y/=-2 \Rightarrow y=- \frac{2}{2} \Rightarrow y=-1 \\ y+3x=5 \\ -1+3x=5 \\ 3x=5+1 \\ 2x=6 \\ x= \frac{6}{2} \\ x=3$

8 0

3 years ago

Read 2 more answers

A middle school mathematics teacher except a teaching position that pays 40,000 per year, each year the expected raise is $2000.

Grace [21]

9514 1404 393

Answer:

$2,070,000

Step-by-step explanation:

The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...

Sn = (2a1 +d(n -1))(n/2)

where a1 is the first term of the series, d is the common difference, and n is the number of terms.

In this problem, we have ...

a1 = 40,000; d = 2,000; n = 30

so the sum is ...

S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)

S30 = 2,070,000

The teacher will earn $2,070,000 over 30 years on this salary schedule.

4 0

3 years ago